Finding the Third Proportional to 52,876 and 116,120

Step by Step Solution

1. Step 1: Write the proportion equation
   52,876 : 116,120 = 116,120 : x
2. Step 2: Convert to fraction form
   52,876/116,120 = 116,120/x
3. Step 3: Cross multiply
   52,876x = 116,120 × 116,120
4. Step 4: Simplify right side
   52,876x = 13,483,854,400
5. Step 5: Solve for x
   x = 13,483,854,400/52,876
6. Step 6: Final answer
   x = 255,008.97